Evaluate • fff ²² e² dV where E is enclosed by the paraboloid z = 5 + x² + y², the cylinder x² + y² = 5, and the zy plane. Round your answer to four decimal places. Question Help Video

Q: (1) Evaluate or determine the definite integral: •5п a) | sint|dt, b) ₁dt, c) fe-tdt.

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Q: Suppose f(x) is continuous on [3, 8] and −5 ≤ f'(x) ≤ 5 for all x in (3,8). Use the Mean Value…

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Q: 10 ["* f(x)dx – ["™ f(x)}dx = [* f(x)dx and b = Message instructor where a = Question Help: Video…

A: Given ∫815f( x )dx - ∫810f( x )dx = ∫abf( x )dx

Q: (D² + 5D + 4)y = 3-2x, Find Yp O a. 11 8 O b. O C 1 11 O d. 11 8 11 8 3 8 + X 3 e none I + X 3 X X 3

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Q: Evaluate the definite integral 2 sin(x)dz

A: we know that   ∫sinxdx=-cosx+clet  H=∫0π2sinxdxH=2∫0πsinxdx

Q: Find the average value of the function f(x) = 3x¹ on the interval 2 ≤ x ≤ 5. Round your answer to…

A: Given query is to find the average value of the function.

Q: 10. What is the area of the region in the first quadrant bounded by the graph of y = ex/2 and the…

A: Find the area

Q: infinite

A: We have to find the value of the given definite integral according to the given information

Q: Find the following indefinite integral using integration by parts. [(3x + =0+c (3x + 9)e* dx =

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Q: a) J (te¹ + t)dt. b) fw sin(2πw)dw. c) fet cos tdt.

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Q: Consider the following integral. Br -2 f(x) dx 0 = where f(x) = Rewrite the given integral. 2 [²1(x)…

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Q: (D3-2D2-5D +6)y=e4x, Find Yp O a. 1 24 Ob. 1.4% O c. 1 4x 4x O d. 1 4x e 18 O e. none

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Q: Find the critical numbers and absolute extrema for 2x³ у . Type DNE if an answer does not exist. The…

A: The given function is y=2x3-39x2+216x on the interval 3, 10. We have to find its critical points and…

Q: 4. lim cos(x )x

A: We can find the limit of the given function by sequential method. Let xn  and  yn be two sequence…

Q: Find all values of x (if any) where the tangent line to the graph of the given equation is…

A: Use differentiation to find the horizontal tangent line.

Q: Evaluate the definite integral. S² 3esin (2) cos(x)dr 0

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Q: 1/2 S." 2 2 cos ¹(x) dx

A: ∫udv=uv-∫vdu∫0122cos-1xdx=2∫012cos-1xdx

Q: lim X-X 3-C 3+C 2

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Q: Use the ratio test to determine if the series converges or diverges 2n n! Σ=1

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Q: (D3 - 2D2 - 5D +6)y=e4x, Find Yp a. 1 24 O b. 1 O c. 1 d. ∙e ∙e e 4x 4x 4x 1 18 O e. none e 4x

A: Given:    D3-2D2-5D+6y=e4x we know particular integral       Yp=1fDQ where Q=e4x…

Q: Evaluate the definite integral. (₁ sin(2t)dt

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Q: Developing Find f'(x) 1) f(x) = sec(x)e* 2) f(x) = 2* + 4x²

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Q: (D2 + 5D + 4)y = 3-2x, Find Yp a. 11 8 O b. O C - Od 11 8 11 8 11 8 00 + O e. none X 3 + X 3 X 3 X 3

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Q: 62. 63. -3m -म y Af 3m 5m X

A: We know y=AsinBx-C+D⇒A=Amplitude ⇒C=Phase shift ⇒D=Vertical shift ⇒Time period T=2πB

Q: Evaluate the integral. 2 6² ²1 t² + 1 - dt

A: The given integral is  ∫01 2t2+1dt

Q: Use a power series to represent the function f(x) = Provide your answer below: m 2 6x + 5 I centered…

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Q: Calculate the 4th derivative of y = xe*

A: Given query is to find 4th derivative

Q: Use part I of the Fundamental Theorem of Calculus to find the derivative of F(x) = sin(t¹)dt F'(x) =

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Q: 1) Graph 1 period of y = 2 tan (+) A

A: To plot the graph of the given trigonometric equation.

Q: Establish the indefinite integral: f tanxdx A) In sinx|+C O B) −In\cosx| + C C) sec²x + C OD)-cotx +…

A: The given integral ∫tan x dx We have to evaluate this integral.

Q: Find the mass of a ball of radius 7 if the mass density of the sphere is proportional to the square…

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Q: (D4-1)y = sinx, Find Yp 1 10 a. O b. 1 15 O c. 1 10 O d. 1 sin 2x sin2x -cos2x 15 -cos2x e. none

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Q: -5<x<0 0≤* <1, then 1≤z<5 0, If f is the Fourier series of g(x)=9x, (11, f(x) =+ Σ[0) 0 (™™ +) +…

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Q: 3. Consider the piecewise function g(t) = ((t + 2)² +2 t≤0 t+6 t> 0° (a) Does g(t) have an absolute…

A: Let's find absolute maximum or minimum value of g(t).

Q: Express the limit lim (3(x; )² – 5(x; )¹) Ax; over [3, 6] as an integral. n→ ∞0 n a = Provide a, b…

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Q: A particle moves along an ss-axis, use the given information to find the position function of the…

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Q: Consider the function f(x)=∫x04t5+4t4−t3+2t2−3t−5dt. Compute f′′(x)

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Q: Using the substitution 6 sin(u) = x, we obtain [²√36 - w²dx = [ K sin" u cos” udu where the…

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Q: Evaluate the definite integral: √√2x- =dx (simplify your answer without using spaces, parenthesis,…

A: To evaluate the following definite integral.∫1312x-1 dx

Q: If f(x) = x² + 6, g(x) = x - 8 and h(x)=√x, then f(g(h(x))) =

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Q: Evaluate the integrals: a) fxe-² dx. хе 2 b) ſ² sin πtdt. -3

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Q: Find the area of the region enclosed between f(x)=x²-x+ 10 and g(x) = 2x²-3x+1 Area =

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Q: (D² + 5D + 4)y = 3 - 2x, Find Yp O a. 11 8 O b. O d. 11 C. 11 — | 8 11 8 8 + e. none w|x 3 I + w/x…

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Q: Question 5 (D2 - 3D + 2)y=e5x, Find Y = Yc + Yp 1 2x + a. O b. O C. Cet + C с d. ce -X e 2 + C₂ e…

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Q: Write an equation for a rational function with: Vertical asymptotes at x = 6 and x = 3 x intercepts…

A: Given query is to find the equation of the function.

Q: (a) sin (2x), c = 0.

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Q: 5) increase in altitude. See diagram below. A road is inclined at an angle of 5°. After driving…

A: Given: A road is inclined at an angle of 5 degrees.

Q: Use the Ratio or Root Test to determine the convergence or divergence of the series. 5n-1 40 +7 n=1

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Q: (D3-4D2)y = 5, Find Yp O a. 5x² 4 O b. 5x² 4 O C. 5x² 12 O d. 5x² 12 O e. none

A: To find Yp